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Select the correct answer.

Strawberries cost [tex]$2[/tex] per pound. Kate buys 5 pounds and gets a 20% discount on the total cost. How much does Kate pay for the strawberries?

A. [tex]$2.00[/tex]
B. [tex]$4.00[/tex]
C. [tex]$8.00[/tex]
D. [tex]$9.00[/tex]
E. [tex]$9.50[/tex]

Answer :

Sure, let's go through the problem step-by-step and find out how much Kate pays for the strawberries.

1. Determine the initial cost:
The price of strawberries is [tex]\( \$2 \)[/tex] per pound. Kate buys [tex]\( 5 \)[/tex] pounds. So, the total cost before any discounts is calculated as:
[tex]\[
\text{Total Cost} = \text{Price per Pound} \times \text{Number of Pounds} = 2 \times 5 = \$10
\][/tex]

2. Calculate the discount amount:
Kate gets a [tex]\( 20\% \)[/tex] discount on the total cost. To find the discount amount, we use:
[tex]\[
\text{Discount Amount} = \text{Total Cost} \times \text{Discount Rate}
\][/tex]
Here, the discount rate is [tex]\( 20\% \)[/tex] or [tex]\( 0.2 \)[/tex]. Thus,
[tex]\[
\text{Discount Amount} = 10 \times 0.2 = \$2
\][/tex]

3. Find the final cost after the discount:
To get the final cost that Kate pays, subtract the discount amount from the total cost:
[tex]\[
\text{Final Cost} = \text{Total Cost} - \text{Discount Amount} = 10 - 2 = \$8
\][/tex]

So, the amount Kate pays for the strawberries after the [tex]\( 20\% \)[/tex] discount is:

$8.00

Therefore, the correct answer is [tex]\( \boxed{8.00} \)[/tex].

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